Magma V2.19-8 Wed Aug 21 2013 00:59:51 on localhost [Seed = 3120538243] Type ? for help. Type -D to quit. Loading file "L13n7842__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7842 geometric_solution 11.73921378 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 2 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -1 2 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.088996358407 1.118469632083 0 4 2 5 0132 1023 1023 0132 1 1 2 0 0 0 -1 1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070694046570 0.888453703874 4 0 1 3 1023 0132 1023 3120 1 1 2 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 -2 3 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070694046570 0.888453703874 2 6 7 0 3120 0132 0132 0132 1 1 2 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -3 0 3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455501820797 0.559234816041 1 2 0 5 1023 1023 0132 1230 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.088996358407 1.118469632083 4 8 1 7 3012 0132 0132 3012 1 1 1 2 0 1 -1 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 3 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.893760101048 0.917949379419 9 3 9 10 0132 0132 3012 0132 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680770666072 0.638817087845 11 11 5 3 0132 3201 1230 0132 1 1 1 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541540528147 1.427672049574 12 5 10 12 0132 0132 1302 2031 1 1 2 1 0 -1 0 1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 -3 0 0 0 0 -3 -1 0 4 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218884029657 0.732978452674 6 6 12 12 0132 1230 1230 0132 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625946449803 1.252595691287 8 11 6 11 2031 3120 0132 0213 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.863499803955 0.314038125755 7 10 7 10 0132 3120 2310 0213 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.178413086142 0.438661030489 8 8 9 9 0132 1302 0132 3012 1 1 1 2 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -3 3 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625946449803 1.252595691287 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_11' : negation(d['c_1001_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_12'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0101_7']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0101_11'], 'c_1100_8' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0110_5, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 8533710443073047447/1770629425840*c_1001_10^8 - 111296300290162890983/3541258851680*c_1001_10^7 + 576427294228143970817/7082517703360*c_1001_10^6 - 6561039408895905489/61587110464*c_1001_10^5 + 2171095412178492936329/28330070813440*c_1001_10^4 - 992757002843813130139/28330070813440*c_1001_10^3 + 818219453718956658041/56660141626880*c_1001_10^2 - 2948843242140875225/515092196608*c_1001_10 + 813807659640740192863/453281133015040, c_0011_0 - 1, c_0011_10 - 266752/9479*c_1001_10^8 + 1315584/9479*c_1001_10^7 - 2357920/9479*c_1001_10^6 + 1870848/9479*c_1001_10^5 - 764176/9479*c_1001_10^4 + 327680/9479*c_1001_10^3 - 137130/9479*c_1001_10^2 + 51908/9479*c_1001_10 + 6782/9479, c_0011_11 + 68096/9479*c_1001_10^8 - 392896/9479*c_1001_10^7 + 865664/9479*c_1001_10^6 - 912784/9479*c_1001_10^5 + 505392/9479*c_1001_10^4 - 202128/9479*c_1001_10^3 + 80964/9479*c_1001_10^2 - 29207/9479*c_1001_10 + 6274/9479, c_0011_12 + 303488/9479*c_1001_10^8 - 1551488/9479*c_1001_10^7 + 2952640/9479*c_1001_10^6 - 2604736/9479*c_1001_10^5 + 1234384/9479*c_1001_10^4 - 506568/9479*c_1001_10^3 + 204256/9479*c_1001_10^2 - 75522/9479*c_1001_10 - 2649/9479, c_0011_3 - 303488/9479*c_1001_10^8 + 1551488/9479*c_1001_10^7 - 2952640/9479*c_1001_10^6 + 2604736/9479*c_1001_10^5 - 1234384/9479*c_1001_10^4 + 506568/9479*c_1001_10^3 - 204256/9479*c_1001_10^2 + 75522/9479*c_1001_10 + 2649/9479, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 235008/9479*c_1001_10^8 - 1196288/9479*c_1001_10^7 + 2280512/9479*c_1001_10^6 - 2053136/9479*c_1001_10^5 + 1012080/9479*c_1001_10^4 - 385404/9479*c_1001_10^3 + 141152/9479*c_1001_10^2 - 66017/9479*c_1001_10 + 3122/9479, c_0101_11 - 303488/9479*c_1001_10^8 + 1551488/9479*c_1001_10^7 - 2952640/9479*c_1001_10^6 + 2604736/9479*c_1001_10^5 - 1234384/9479*c_1001_10^4 + 506568/9479*c_1001_10^3 - 204256/9479*c_1001_10^2 + 75522/9479*c_1001_10 - 6830/9479, c_0101_12 - 62720/9479*c_1001_10^8 + 313984/9479*c_1001_10^7 - 541888/9479*c_1001_10^6 + 357792/9479*c_1001_10^5 - 70368/9479*c_1001_10^4 + 8564/9479*c_1001_10^3 + 10240/9479*c_1001_10^2 + 1707/9479*c_1001_10 + 5197/9479, c_0101_7 + c_1001_10, c_0110_5 - 303488/9479*c_1001_10^8 + 1551488/9479*c_1001_10^7 - 2952640/9479*c_1001_10^6 + 2604736/9479*c_1001_10^5 - 1234384/9479*c_1001_10^4 + 506568/9479*c_1001_10^3 - 204256/9479*c_1001_10^2 + 75522/9479*c_1001_10 + 12128/9479, c_1001_10^9 - 13/2*c_1001_10^8 + 67/4*c_1001_10^7 - 87/4*c_1001_10^6 + 247/16*c_1001_10^5 - 111/16*c_1001_10^4 + 91/32*c_1001_10^3 - 9/8*c_1001_10^2 + 89/256*c_1001_10 + 1/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB